Question Number 102086 by mathocean1 last updated on 06/Jul/20
Commented by mr W last updated on 06/Jul/20
$${what}\:{is}\:{a}\:{pair}\:{number}?\:\:={even}\:{number}? \\ $$$${what}\:{is}\:{a}\:{pair}\:{digit}?\:={even}\:{digit}? \\ $$$${what}\:{is}\:{an}\:{unpair}\:{digit}?\:={odd}\:{digit}? \\ $$
Commented by mathocean1 last updated on 06/Jul/20
$${Yes}\:{sir}… \\ $$
Answered by mr W last updated on 06/Jul/20
$$\left.\mathrm{1}\right) \\ $$$$\mathrm{3}!+{C}_{\mathrm{2}} ^{\mathrm{3}} ×\mathrm{2}×\mathrm{2}×\mathrm{4}+\mathrm{3}×\mathrm{4}×\mathrm{3}=\mathrm{90} \\ $$$$\left.\mathrm{2}\right) \\ $$$$\mathrm{3}!+{C}_{\mathrm{2}} ^{\mathrm{3}} ×\mathrm{4}×\mathrm{3}!+\mathrm{3}×{C}_{\mathrm{2}} ^{\mathrm{4}} ×\mathrm{3}!=\mathrm{402} \\ $$$$\left.\mathrm{3}\right) \\ $$$$\mathrm{4}×\mathrm{3}+{C}_{\mathrm{2}} ^{\mathrm{4}} ×\mathrm{3}×\mathrm{3}!+\mathrm{4}×{C}_{\mathrm{2}} ^{\mathrm{3}} ×\mathrm{3}!=\mathrm{138} \\ $$